Question

in the figure shown, the measures of all angles are equal, and ab = ef. what sequence of transformations appears to map △abc onto △efg? a. reflection and rotation b. two translations c. rotation and translation d. none of the above

Explanation:

Step1: Analyze the orientation of triangles

We observe that the orientation of $\triangle ABC$ and $\triangle EFG$ is different. A translation just moves the figure without changing its orientation, so two - translations (option B) won't work.

Step2: Check for rotation and reflection

If we consider a reflection, it would flip the figure over a line. And a rotation would turn the figure around a point. But looking at the triangles, we can see that a simple combination of reflection and rotation or rotation and translation won't map $\triangle ABC$ onto $\triangle EFG$ because of the specific orientation and position.

Answer:

D. none of the above